Three regular polygons, all with unit sides, share a common vertex and are all coplanar. Each polygon has a different number of sides, and each polygon shares a side with the other two; there are no gaps or overlaps. Find the number of sides for each polygon. There are multiple answers.

(In reply to re: solution by Charlie)

What about polygons of 3, 7 and 42 sides?  These would give angles of 60, 900/7 and 1200/7 degrees, which add up to 360.

sam

P.S.-Charlie, how did your program miss this solution? 

Posted by stan on 2004-07-13 08:51:19